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Finding the Fourth Proportional to 43,785.67, 65,687.74 and 14,201.20

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Solution

The fourth proportional to 43,785.67, 65,687.74 and 14,201.20 is: 21,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785.67 : 65,687.74 = 14,201.20 : x
  2. Step 2: Convert to fraction form
    43,785.67/65,687.74 = 14,201.20/x
  3. Step 3: Cross multiply
    43,785.67x = 65,687.74 × 14,201.20
  4. Step 4: Simplify right side
    43,785.67x = 932,844,733.29
  5. Step 5: Solve for x
    x = 932,844,733.29/43,785.67
  6. Step 6: Final answer
    x = 21,304.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.